Home
Class 11
MATHS
Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2...

Solve `(log)_4 8+(log)_4(x+3)-(log)_4(x-1)=2.`

Text Solution

Verified by Experts

`log_4 8+log_4(x+3)-log_4 (x-1)=2`
`log_4 8(x+3)-log_4(x-1)=2`
`log_4[(8(x+3))/(x-1)]=2`
`(8(x+3))/(x-1)=2^4`
`(8(x+3))/(x-1)=16`
`x+3=2x-2`
`x=5`.
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE|Exercise Solved Examples And Exercises|63 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise Solved Examples And Exercises|324 Videos

Similar Questions

Explore conceptually related problems

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Solve: (log)_2(4.3^x-6)-(log)_2(9^x-6)=1.

Solve (log)_2(x-1)> 4.

Solve (log)_(0. 04)(x-1)geq(log)_(0. 2)(x-1)

Solve : 3log_x(4)+ 2log_(4x)4+3log_(16x)4=0

Solve : 6(log_x2-(log_4x)+7=0.

Solve (log)_2(3x-2)=(log)_(1/2)x

Solve: 4(log)_(x/2)(sqrt(x))+2(log)_(4x)(x^2)=3(log)_(2x)(x^3)dot

Solve (log)_(2x)2+(log)_4 2x=-3//2.

Equation (log)_4(3-x)+(log)_(0. 25)(3+x)=(log)_4(1-x)+(log)_(0. 25)(2x+1)h a s (a) only one prime solution (b) two real solutions (c) no real solution (d) none of these

CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. Find the value of (1/(49))^(1+(log)7 2)+5^(-1(log)((1/5))(7))

    Text Solution

    |

  2. Prove that: 2^(sqrt((log)a4sqrt(a b)+(log)b4sqrt(a b))-(log)a4sqrt(b/...

    Text Solution

    |

  3. Prove that (2^((log)2 1/4x)-3^(log)(27)(x^2+1)^3-2x >)/(7^(4(log)(49)...

    Text Solution

    |

  4. Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2.

    Text Solution

    |

  5. Which of the following pairs of expression are defined for the same se...

    Text Solution

    |

  6. Solve (log)2(3x-2)=(log)(1/2)x

    Text Solution

    |

  7. Solve log(-x)=2log(x+1)dot

    Text Solution

    |

  8. Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1.

    Text Solution

    |

  9. Solve 2^(x+2)27^(x//(x-1))=9

    Text Solution

    |

  10. Suppose x , y ,z=0 and are not equal to 1 and logx+logy+logz=0. Find t...

    Text Solution

    |

  11. If (log)(12)27=a , then find (log)6 16 interms of a

    Text Solution

    |

  12. If y^2=x z and a^x=b^y=c^z , then prove that (log)ab=(log)bc

    Text Solution

    |

  13. Simplify: 1/(1+(log)a b c)+1/(1+(log)b c a)+1/(1+(log)c a b)

    Text Solution

    |

  14. If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

    Text Solution

    |

  15. Find the value of ((log)3 4)((log)4 5)((log)5 6)((log)6 7)((log)7 8)((...

    Text Solution

    |

  16. y=2^(1/((log)x4), then find x in terms of y.

    Text Solution

    |

  17. If n >1,t h e np rov et h a t 1/((log)2n)+1/((log)3n)++1/((log)(53)n)...

    Text Solution

    |

  18. What is logarithm of 32^5sqrt(4) to the base 2sqrt(2)?

    Text Solution

    |

  19. Which is greater: x=(log)3 5ory=(log)(17)25 ?

    Text Solution

    |

  20. The product of roots of the equation (log8(8/x^2))/((log8x)^2)=3 is 1 ...

    Text Solution

    |